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Graph Red beads cost $1 an ounce and gold beads cost $3 an ounce. Juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. The solution of the system shows the number of beads needed for Juanita to break even. x + y = 12, x + 3y = 24 How many ounces of red beads will Juanita buy to break even? How many ounces of gold beads will she buy?

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Both answers are 6.

6 oz of red beads will Juanita buy 2 break even

6 oz og gold beads is the amt Juanita will buy.

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The amount of red and gold beads each would be as follows:

- 6 ounces of red beads

- 6 ounces of gold beads

Given that,

[tex]x + y = 12 ...(i)[/tex]

[tex]x + 3y = 24 ...(ii)[/tex]

These two equations could be solved through the elimination method by subtracting [tex](i)[/tex] from [tex](ii)[/tex]. We get,

[tex]2y = 12[/tex]

∵ [tex]y = 6[/tex]

Now, putting the value of [tex]y[/tex] in equation [tex](i)[/tex]

[tex]x + 6 = 12[/tex]

⇒ [tex]x = 12 - 6[/tex]

∵ [tex]x = 6[/tex]

Thus, the ounces of red, as well as, gold beads would be 6 ounces each.

Learn more about "Algebra" here:

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